For The Mathematically Inclined


Anil Saigal 11/12/2007
FOR CHILDREN PROBLEM # 1 My age three years hence multiplied by 3, and from that subtract three times my age three years ago will give you my exact age. What is my age?
FOR GROWNUPS PROBLEM # 2 Let x be a real number. Which is greater sin(cos(x)) or cos(sin(x))?  Please send your solutions to anil@lokvani.com.
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 Problem Solutions 11/01/07
PROBLEM # 1 On my walk to school, I travelled at three different speeds: for the first mile, I traveled at 6 mph; for the second mile I traveled at 2 mph; and for the final mile, I traveled at 3 mph. What was my average speed for the entire trip. Solution: 3 mph. FOR GROWNUPS PROBLEM # 2 Given cos(x) + cos(y) + cos(z) = sin(x) + sin)y) + sin(z), find the numerical value of cos(xy) + cos(yz) + cos(zx). Solution:
Congratulations to Sitaram Chandawarkar and Anuj Sisodiya, who were winners of the last set of puzzles.

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